6438801820 has 48 divisors (see below), whose sum is σ = 14812037856. Its totient is φ = 2331648000.

The previous prime is 6438801797. The next prime is 6438801839. The reversal of 6438801820 is 281088346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 113740.

It is an arithmetic number, because the mean of its divisors is an integer number (308584122).

Almost surely, 2^6438801820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406018928).

6438801820 is an abundant number, since it is smaller than the sum of its proper divisors (8373236036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6438801820 is a wasteful number, since it uses less digits than its factorization.

6438801820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121702 (or 121700 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 6438801820 is about 80242.1449115114. The cubic root of 6438801820 is about 1860.3801030713.

The spelling of 6438801820 in words is "six billion, four hundred thirty-eight million, eight hundred one thousand, eight hundred twenty".